Saxena, Garima ; Prasad, Awadhesh ; Ramaswamy, Ramakrishna (2010) Dynamical effects of integrative time-delay coupling Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 82 (1). 017201_1-017201-4. ISSN 1539-3755
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Official URL: http://pre.aps.org/abstract/PRE/v82/i1/e017201
Related URL: http://dx.doi.org/10.1103/PhysRevE.82.017201
Abstract
We study coupled dynamical systems wherein the influence of one system on the other is cumulative: coupling signals are integrated over a time interval Τ. A major consequence of integrative coupling is that amplitude death occurs over a wider range and in a single region in parameter space. For coupled limit cycle oscillators (the Landau-Stuart model) we obtain an analytic estimate for the boundary of this region while for coupled chaotic Lorenz oscillators numerical results are presented. For given Τ we find that there is a critical coupling strength at which the frequency of oscillations changes discontinuously.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 45322 |
| Deposited On: | 25 Jun 2011 15:14 |
| Last Modified: | 25 Jun 2011 15:14 |
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